1. 30 – Instantaneous Rate of Change No Calculator
Derivative Investigations
30 – Instantaneous Rate of Change No Calculator

2. Given the curve:
f(x+h)
x+h x
f(x)
Average Rate of Change on [x, x+h]

5. What happens as h gets smaller?x
f(x)
x+h
f(x+h)
f(x+h)
x+h x
f(x)
Average Rate of Change on [x, x+h]

6. What happens as h gets smaller?
What if h was zero? x
f(x)
x+h
f(x+h) x
f(x)
Average Rate of Change on [x, x+h]

7. Given the curve:
slope of secant line
average
rate of change
f(x+h)
x+h x
slope of tangent line
instantaneous
rate of change
f(x)

8. , find the equation of the line tangent to the curve at (4, 0).
3. Given
, find the equation of the line tangent to the
curve at (4, 0). _ h

9. , find the equation of the line tangent to the curve at (2, 14).
4. Given
, find the equation of the line tangent
to the curve at (2, 14). _ h

10. , find the equation of the line tangent to the curve at x = –1.
5. Given
, find the equation of the line tangent to the
curve at x = –1. _ h